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An adaptive, residual based splitting approach for the time dependent penalized Navier Stokes equations.

hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorNOUVEAU, Léo
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
hal.structure.identifierInstitut Polytechnique de Bordeaux [Bordeaux INP]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBEAUGENDRE, Heloise
hal.structure.identifierInstitut Polytechnique de Bordeaux [Bordeaux INP]
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDOBRZYNSKI, Cecile
hal.structure.identifierUniversität Zürich [Zürich] = University of Zurich [UZH]
dc.contributor.authorABGRALL, Remi
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorRICCHIUTO, Mario
dc.date.accessioned2024-04-04T03:12:47Z
dc.date.available2024-04-04T03:12:47Z
dc.date.conference2016-06-05
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193897
dc.description.abstractEnThe coupling of anisotropic unstructured mesh adaptation techniques with immersed boundary method (IBM) is studied for time dependent flow simulations involving moving objects.This work is incorporated within the framework of the European STORM project, with the aim (among others) to improve accuracy of simulation tools for ice shedding trajectories. The moving objects considered here are ice blocks detached from the aircraft after the use of a de-icing system. Their trajectories are required to predict if sensitive parts of the propulsive system could be damaged.The starting point of our work is an IBM method known as penalization introduced by Brinkmann in 1947 for a swarm of particles. In this approach a source term is added to the NS equations to account for the momentum defect related to the movement of the body, and representative of the forces exchanged between the fluid and the solid.We propose a complete study for solving unsteady penalized equations based on a Strang splitting approach. It allows to solve separately the NS part of the equations and the penalization part with a global second order accuracy in space and time. This approach has three main advantages. First, because of time step restriction, penalization has to be solved implicitly and therefore, the splitting allows flexibility in the choice of the scheme for the NS part (explicit scheme for instance, under condition of second order accuracy). Secondly, force computations can be performed using the change of momentum technique presented in. Finally, this splitting leads to a point by point resolution of the penalized part implying nomatrix inversion, this matrix being potentially ill conditioned owing to the penalty parameter.To reduce the error on solid boundaries typically associated to IBM methods, we use unstructured mesh adaptation techniques. We present results of solids moved by a flow which requires a moving mesh in order to keep this adaptation. Thus, ALE residual distribution schemes areemployed for solving the NS part of the splitting, combined to an exact solution of the ordinary differential equationsrunning the penalized part (over an asymptotic approximation with respect to the penalty parameter).
dc.language.isoen
dc.subject.enResidual distribution schemes
dc.subject.enALE Arbitrtary Lagrangian Eulerian
dc.subject.enPenalization Methods
dc.subject.enImmersed boundary method IBM
dc.subject.enr adaptation
dc.title.enAn adaptive, residual based splitting approach for the time dependent penalized Navier Stokes equations.
dc.typeCommunication dans un congrès
dc.subject.halInformatique [cs]/Modélisation et simulation
dc.description.sponsorshipEuropeEfficient ice protection Systems and simulation Techniques Of ice Release on propulsive systeMs
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.conference.titleECCOMAS Congress 2016
bordeaux.countryGR
bordeaux.conference.cityCrete Island
bordeaux.peerReviewedoui
hal.identifierhal-01403209
hal.version1
hal.invitednon
hal.proceedingsoui
hal.conference.end2016-06-10
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01403209v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=NOUVEAU,%20L%C3%A9o&BEAUGENDRE,%20Heloise&DOBRZYNSKI,%20Cecile&ABGRALL,%20Remi&RICCHIUTO,%20Mario&rft.genre=unknown


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